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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 251 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

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  1. 1.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  4. 4.2 : 5 = 8 : ?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.10 : 12 = 20 : ?
  7. 7.Divide ₹265 between Sneha and Vivaan in the ratio 2 : 3. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  10. 10.Divide ₹520 between Meera and Diya in the ratio 4 : 9. How much does Meera get (in ₹)?
  11. 11.Divide ₹185 between Isha and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  12. 12.2 : 9 = 12 : ?
  13. 13.5 : 15 = 40 : ?
  14. 14.5 : 15 = 45 : ?
  15. 15.Divide ₹126 between Tara and Vivaan in the ratio 6 : 1. How much does Vivaan get (in ₹)?
  16. 16.7 : 2 = 21 : ?
  17. 17.Divide ₹798 between Nisha and Pooja in the ratio 9 : 5. How much does Pooja get (in ₹)?
  18. 18.Divide ₹660 between Dev and Kabir in the ratio 4 : 7. How much does Dev get (in ₹)?
  19. 19.2 : 3 = 4 : ?
  20. 20.Divide ₹30 between Rahul and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  21. 21.9 : 8 = 36 : ?
  22. 22.12 : 5 = 36 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  24. 24.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.5 : 3 = 30 : ?
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.Divide ₹396 between Saanvi and Farhan in the ratio 4 : 7. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.Divide ₹200 between Farhan and Manav in the ratio 1 : 7. How much does Manav get (in ₹)?
  35. 35.Divide ₹185 between Vivaan and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  36. 36.4 : 8 = 8 : ?
  37. 37.Divide ₹105 between Aarav and Tara in the ratio 8 : 7. How much does Aarav get (in ₹)?
  38. 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  39. 39.Divide ₹192 between Diya and Ananya in the ratio 7 : 9. How much does Diya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?

Answer key

  1. 20
  2. 40
  3. 14
  4. 20
  5. 75
  6. 24
  7. 106
  8. 16
  9. 16
  10. 160
  11. 37
  12. 54
  13. 120
  14. 135
  15. 18
  16. 6
  17. 285
  18. 240
  19. 6
  20. 24
  21. 32
  22. 15
  23. 6
  24. 20
  25. 27
  26. 18
  27. 12
  28. 18
  29. 8
  30. 27
  31. 128
  32. 252
  33. 48
  34. 175
  35. 111
  36. 16
  37. 56
  38. 81
  39. 84
  40. 7

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